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Numerical modeling of elastic waves in micropolar plates and shells taking into account inertial characteristics

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Abstract

Mathematical models of micropolar plates and shells are considered within the framework of the approximation approach. The governing equations of the theories are written in a thermodynamically consistent form of the conservation laws. This ensures hyperbolicity and correctness of the initial boundary value problems. For numerical solution, we propose parallel algorithms for supercomputers with graphics processing units. The algorithms are based on the splitting method with respect to spatial variables. We present the results of numerical computations of wave propagation in micropolar rectangular plates and cylindrical panels for media with different types of microstructure particles.

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Acknowledgements

This work was supported by the Russian Foundation for Basic Research Grant 18-31-00100.

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  1. Institute of Computational Modeling, Siberian Branch of the Russian Academy of Sciences, Akademgorodok 50/44, Krasnoyarsk, Russia, 660036

    Maria Varygina

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  1. Maria Varygina
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Correspondence to Maria Varygina.

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Communicated by Dr. Francesco dell’Isola.

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Varygina, M. Numerical modeling of elastic waves in micropolar plates and shells taking into account inertial characteristics. Continuum Mech. Thermodyn. 32, 761–774 (2020). https://doi.org/10.1007/s00161-018-0725-8

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